Quantum Phase Transitions

Quantum Phase Transitions is the first book to describe in detail the fundamental changes that can occur in the macroscopic nature of matter at zero temperature due to small variations in a given external parameter. The subject plays a central role in the study of the electrical and magnetic properties of numerous important solid state materials. The author begins by developing the theory of quantum phase transitions in the simplest possible class of non-disordered, interacting systems - the quantum Ising and rotor models. Particular attention is paid to their non-zero temperature dynamic and transport properties in the vicinity of the quantum critical point. Several other quantum phase transitions of increasing complexity are then discussed and clarified. Throughout, the author interweaves experimental results with presentation of theoretical models, and well over 500 references are included. The book will be of great interest to graduate students and researchers in condensed matter physics. "Describing the physical properties of quantum materials near critical points with long-range many-body quantum entanglement, this book introduces readers to the basic theory of quantum phases, their phase transitions and their observable properties. This second edition begins with a new section suitable for an introductory course on quantum phase transitions, assuming no prior knowledge of quantum field theory. It also contains several new chapters to cover important recent advances, such as the Fermi gas near unitarity, Dirac fermions, Fermi liquids and their phase transitions, quantum magnetism, and solvable models obtained from string theory. After introducing the basic theory, it moves on to a detailed description of the canonical quantum-critical phase diagram at non-zero temperatures. Finally, a variety of more complex models are explored. This book is ideal for graduate students and researchers in condensed matter physics and particle and string theory"-- "The author begins by developing the theory of quantum phase transitions in the simplest possible class of nondisordered, interacting systems - the quantum Ising and rotor models. He pays particular attention to their nonzero temperature dynamic and transport properties in the vicinity of the quantum critical point. He then goes on to discuss and classify several other quantum phase transitions of increasing complexity, including those with nontrivial quantum Berry phases and quenched disorder." "Throughout the book the author interweaves experimental results with presentation of theoretical models. An advanced graduate-level course on quantum statistical mechanics can be based on selected chapters. The book also will be of great interest to researchers in condensed matter physics."--Jacket 1. Basic Concepts -- 2. The Mapping To Classical Statistical Mechanics: Single-site Models -- 3. Overview -- 4. The Ising Chain In A Transverse Field -- 5. Quantum Rotor Models: Large-n Limit -- 6. The D=1, 0(n [greater Than Or Equal To] 3) Rotor Models -- 7. The D=2, 0(n [greater Than Or Equal To] 3) Rotor Models -- 8. Physics Close To And Above The Upper-critical Dimension -- 9. Transport In D=2 -- 10. Boson Hubbard Model -- 11. Dilute Fermi And Bose Gases -- 12. Phase Transitions Of Fermi Liquids -- 13. Heisenberg Spins: Ferromagnets And Antiferromagnets -- 14. Spin Chains: Bosonization -- 15. Magnetic Ordering Transitions Of Disordered Systems / Subir Sachdev And T. Senthil -- 16. Quantum Spin Glasses. Subir Sachdev. Includes Bibliographical References (p. 335-348) And Index. Quantum Phase Transitions details the fundamental changes that can occur in the macroscopic nature of matter at zero temperature due to small variations in a given external parameter. The author develops the theory of quantum phase transitions in the simplest possible class of nondisordered, interacting systems--the quantum Ising and rotor models. He pays particular attention to their non-zero temperature dynamic and transport properties in the vicinity of the quantum critical point. Throughout, experimental results are interwoven with theoretical models, and well over 500 references are included.